In order to study the influence of time-varying turbulence to facular orientation precision when the facula is moving during pointing and tracking process, a random phase screen is generated by using modified inverse Fourier transform to simulate the atmospheric turbulence. And then the orientation deviation of the facular barycenter, the relation between the deviation and the facular position in the detector and the orientation precision of the facula are analyzed under different atmospheric turbulence intensities. The results indicate that there is a deviation between actual translational amount of the facular barycenter and that of the barycenter detected by the charge-coupled device in the presence of time-varying atmospheric turbulence, and it relates with the atmospheric turbulence intensity. And the orientation precision relates with both the atmospheric turbulence intensity and the facular position in the detector.